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Finding the Fourth Proportional to 5,473.50, 7,553.84 and 3,116.40

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Solution

The fourth proportional to 5,473.50, 7,553.84 and 3,116.40 is: 4,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.50 : 7,553.84 = 3,116.40 : x
  2. Step 2: Convert to fraction form
    5,473.50/7,553.84 = 3,116.40/x
  3. Step 3: Cross multiply
    5,473.50x = 7,553.84 × 3,116.40
  4. Step 4: Simplify right side
    5,473.50x = 23,540,786.98
  5. Step 5: Solve for x
    x = 23,540,786.98/5,473.50
  6. Step 6: Final answer
    x = 4,300.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.